22104237521808 has 240 divisors, whose sum is σ = 69522361534080. Its totient is φ = 6505020758016.

The previous prime is 22104237521791. The next prime is 22104237521827. The reversal of 22104237521808 is 80812573240122.

22104237521808 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 42 + 3 + 7 + 521 + 80 + 8 = 666.

It is a super-3 number, since 3×22104237521808³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973872316 + ... + 973895012.

It is an arithmetic number, because the mean of its divisors is an integer number (289676506392).

Almost surely, 2^{22104237521808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22104237521808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34761180767040).

22104237521808 is an abundant number, since it is smaller than the sum of its proper divisors (47418124012272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22104237521808 is a wasteful number, since it uses less digits than its factorization.

22104237521808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45366 (or 45357 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 22104237521808 in words is "twenty-two trillion, one hundred four billion, two hundred thirty-seven million, five hundred twenty-one thousand, eight hundred eight".